Solve (0.003*10^7)(700,000)/(5000)(0.0021*10^-6)

$$\frac { ( 0.003 \times 10 ^ { 7 } ) ( 700,000 ) } { ( 5000 ) ( 0.0021 \times 10 ^ { - 6 } ) }$$

Evaluate

$$2000000000000000$$

Solution Steps

Cancel out 5000 in both numerator and denominator.

$$\frac{0.003\times 140\times 10^{7}}{0.0021\times 10^{-6}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{0.003\times 140\times 10^{13}}{0.0021}$$

Multiply 0.003 and 140 to get 0.42.

$$\frac{0.42\times 10^{13}}{0.0021}$$

Calculate 10 to the power of 13 and get 10000000000000.

$$\frac{0.42\times 10000000000000}{0.0021}$$

Multiply 0.42 and 10000000000000 to get 4200000000000.

$$\frac{4200000000000}{0.0021}$$

Expand \frac{4200000000000}{0.0021} by multiplying both numerator and the denominator by 10000.

$$\frac{42000000000000000}{21}$$

Divide 42000000000000000 by 21 to get 2000000000000000.

$$2000000000000000$$

Factor

$$2^{16}\times 5^{15}$$